Lateral and Total Surface Area of Cylinders

Front

What is the formula for the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

What is the formula for the total surface area of a cylinder?

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

If the diameter of a cylinder is 10 cm, what is the radius?

Back

Radius = Diameter / 2 = 10 cm / 2 = 5 cm.

Front

Calculate the lateral surface area of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

Lateral Surface Area = 2π(5)(10) = 314.16 cm².

Front

Calculate the total surface area of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

Total Surface Area = 2π(5)(10 + 5) = 471.24 cm².

Front

What units are used to measure surface area?

Back

Square units (e.g., cm², m²).

Front

What is the relationship between the diameter and radius of a cylinder?

Back

The radius is half of the diameter.

Front

If a cylinder has a height of 8 cm and a radius of 3 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2π(3)(8) = 150.8 cm².

Front

What is the lateral surface area of a cylinder with a height of 5 m and a radius of 2 m?

Back

Lateral Surface Area = 2π(2)(5) = 62.83 m².

Front

How do you find the total surface area of a cylinder?

Back

Add the lateral surface area to the area of the two circular bases.